Question

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.

6x + 3y = 27 5x+ 2y + 21

Which variable should he choose so that he can use substitution to solve the system?
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.

Answer 1

A

Explanation:

Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.

Answer 2

The most efficient way to solve this problem is isolating the y in the first equation because:

6x + 3y = 27

3y = 27 - 6x

y = 9 - 2x

Since all the numbers have a common factor of 3, it can be easily simplified/reduce.

If you used any other variable, you would have gotten a fraction.

Now that you found y, you can substitute it into the other equation to solve for x.

ANYWAYS, your answer is A